Well, I tried it, without success. The main problem being that I
was unable to clamp the two parts securely without removing the
"fixed" part.

So, I've ordered a replacement part (which, Murphy's law being in
effect, is back-ordered). I may try glueing the broken one again
after it's removed, to save as a spare, perhaps with the Metweld
or 3M DP810 which have been recommended in this thread.

Thanks again to everyone for the suggestions.

John